Results 61 to 70 of about 134,471 (280)

Scalar quantum field theory on fractals [PDF]

Annals of Physics, 2012
We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar shapes. The intent is to construct continuum limits of scale invariant scalar field theories, by imitating Wiener's construction of the measure on the space of functions of ...
Kar, Arnab, Rajeev, S. G.
openaire   +3 more sources

A General and Efficient Framework for the Rapid Design of Miniaturized, Wideband, and High‐Bit RIS

Advanced Electronic Materials, EarlyView.
A general and efficient framework is proposed for the rapid design of high‐performance reconfigurable intelligent surfaces (RISs). This framework integrates advanced antenna design techniques and incorporates various load types, quantities, and values to achieve the design of high‐performance RISs.
Jun Wei Zhang, Zheng Xing Wang, Wanwan Cao, Zhen Jie Qi, Li Jie Wu, Han Qing Yang, Qun Yan Zhou, Si Ran Wang, Hui Dong Li, Jun Yan Dai, Jiang Luo, Jun Wei Wu, Jia Nan Zhang, Zhen Zhang, Qiang Cheng   +14 more
wiley   +1 more source

Application of Fractal Theory to the Analysis of Failure Characteristics of Low-Velocity-Impact Concrete Slabs

Buildings, 2023
The fractal characteristics of low-velocity-impact concrete slabs were studied using fractal theory, and the fractal dimension value of cracks of each concrete specimen plate was calculated using box dimension as the basic principle and digital image ...
Song Gu, Jiachen Zhao, Jinxing Li, Feng Peng, Chao Kong, Liqiong Yang   +5 more
doaj   +1 more source

The Measure of a Measurement

, 2007
While finite non-commutative operator systems lie at the foundation of quantum measurement, they are also tools for understanding geometric iterations as used in the theory of iterated function systems (IFSs) and in wavelet analysis.
Bratteli O., Kribs D. W., Palle E. T. Jorgensen   +2 more
core   +2 more sources

Deciphering Intricacies in Directional CO2 Conversion From Electrolysis to CO2 Batteries

Advanced Energy Materials, EarlyView.
This review will delve into the inherent connections and distinctions of CO2‐directed conversion in ECO2RR and CO2 batteries, in terms of product types, catalyst selection, catalytic mechanisms, and electrochemical performances, while proposing a benchmarking framework for the evaluation of CO2 batteries and innovative CO2 battery configurations for ...
Changfan Xu, Huaping Zhao, Lizhuang Chen, Weidong Shi, Guosheng Shao, Yong Lei   +5 more
wiley   +1 more source

Evolution of Physical Intelligence Across Scales

Advanced Intelligent Discovery, EarlyView.
By following the evolution of physical intelligence across scales, this article shows how intelligence arises from materials, structures, physical interactions, and collectives. It establishes physical intelligence as the evolutionary foundation upon which embodied intelligence is built.
Ke Liu, Tianyun Huang, Aming Li, Pengyu Lv, Tingting Qin, Wenhui Chen, Hui Wei, Huiling Duan   +7 more
wiley   +1 more source

The Formal Invariance of Fractal Operators Under Laplace Transform

Fractal and Fractional
This paper focuses on the invariant properties of fractal operators and aims to achieve the axiomatization of the theory of fractal operators. Building upon the derivative and integral theorems of the Laplace transform, we redefine the time differential ...
Yajun Yin, Tianyi Zhou, Ruiheng Jiang, Chaoqian Luo, Gang Peng   +4 more
doaj   +1 more source

Investigation of Hexagonal Honeycomb Topology for Impact Optimization in Energetic Material

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The regulation of the mechanical properties of energetic materials manufactured by traditional processes is constrained. However, the introduction of lattice structures can facilitate the regulation of mechanical properties without necessitating alterations to the materials themselves. Using finite element analysis and experimental validation,
Xueye Chen, Bin Yang, Linna Zhang, Zhihao Ding, Weitao Yang   +4 more
wiley   +1 more source

Avalanche Dynamics in Evolution, Growth, and Depinning Models

, 1995
The dynamics of complex systems in nature often occurs in terms of punctuations, or avalanches, rather than following a smooth, gradual path. A comprehensive theory of avalanche dynamics in models of growth, interface depinning, and evolution is ...
A. Rinaldo, A. Vespignani, B. Drossel, B. Drossel, B. Gutenberg, B. Jovanovic, B.B. Mandelbrot, C. Fogedby, C. Tang, D. Dhar, D. Dhar, D. Dhar, D. Ertas, D. Wilkinson, E. Somfai, F. Family, F. Gruneis, G. Grinstein, H. Bai Lin, H. Flyvbjerg, H. Ji, H. Leschhorn, H. Leschhorn, H. Saleur, I. Jensen, J. de Boer, J. de Boer, J. Falk, J. Feder, J.F. Gouyet, J.M. Carlson, J.W. Essam, K. Christensen, K. Ito, K. Sneppen, K. Sneppen, K. Sneppen, L. Furuberg, L. H. Tang, L. H. Tang, L. Pietronero, L. Pietronero, L. Pietronero, L. Pietronero, L.A.N. Amaral, M. Kardar, M. Marsili, M. Paczuski, M. Paczuski, M. Paczuski, M. Paczuski, M.A. Rubio, Maya Paczuski, N. Martys, N.P. Ong, O. Narayan, O. Narayan, O. Narayan, P. Bak, P. Bak, P. Bak, P. Bak, P. Bak, P. Bak, P. Bak, P. Bak, P. Grassberger, P. Grassberger, P. Sornette, P.A. Lee, P.H. Coleman, Per Bak, R. Bruinsma, R. Cafiero, R. Chandler, R. Lenormand, R.M. Fleming, S. Das Sarma, S. Field, S. Galluccio, S. Maslov, S. Maslov, S. Maslov, S. Roux, S. Roux, S.B. Lowen, S.F. Edwards, S.I. Zaitsev, S.J. Gould, S.J. Gould, S.L. Miller, S.N. Majumdar, S.V. Buldyrev, S.V. Buldyrev, Sergei Maslov, T. Grossman, T. Halpin Healy, T. Hwa, T. Nattermann, T.A. Witten, T.S. Ray, W.H. Press, Y. C. Zhang, Z. Olami, Z. Olami, Z. Olami   +105 more
core   +1 more source

Counterexamples in theory of fractal dimension for fractal structures [PDF]

Chaos, Solitons & Fractals, 2016
Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
M. Fernández-Martínez, Magdalena Nowak, M.A. Sánchez-Granero   +2 more
openaire   +2 more sources